Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for every hour driven, and after driving for 4 hours, there were 7 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Victoria's gas tank after tt hours of driving.

Answers

Answer 1

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)


Related Questions

Evaluate. (-1/3) ^3

Answers

Answer:

[tex]-\frac{1}{27}[/tex]

Answer:

18-726;615+8876-9987

Which fraction is BIGGER?
-7/10 or -4/5

Answers

From my understanding -4/5 is bigger.

Hello.

Negative numbers closest to 0 are the greatest.

-7/10 is farther away from 0 than -4/5 is.

-7/10 < -4/5, so -4/5 is the bigger fraction.

What are the coordinates of point F (-5, -3) after a 90 degree clockwise rotation about the origin?

Answers

Answer: (-5,3)

Step-by-step explanation:

Answer::-)

There you go

Step-by-step explanation:

A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?

Answers

Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

The hummingbird will take 1 minute 13 seconds.

Let the time that will be taken by the hummingbird be represented by x

Note that 1 minute = 60 seconds

Based on the information given, the equation that'll be used in the question will be:

45/55 = 60/x

Cross multiply

(45 × x) = (60 × 55)

45x = 3300

x = 3300/45

x = 73.33 seconds

x = 1 minute 13 seconds

The hummingbird will take 1 minute 13 seconds.

Read related link on:

https://brainly.com/question/16733139

Polynomials are closed under which operations? Select all that apply.

Addition

Subtraction

Multiplication

Division

Answers

your answer is

Step-by-step explanation:

polynomials are closed under addition,subtraction,mutiplication except division

The polynomials are closed under addition, subtraction, mutiplication except division.

What is a polynomial?

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

Polynomials are expressions involving variables raised with non negative integers and coefficients (constants who are in multiplication with those variables) and the constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

The polynomials are closed under addition, subtraction, mutiplication except division.

Learn more about prime polynomials here:

https://brainly.com/question/10717989

#SPJ2

!!!ANSWER ASAP 100 POINTS!!! ANSWER BOTH AND TELL ME EXACTLY WHAT GOES IN EACH BOX

Answers

Answer:

1. 7¹⁰

2. 9⁸

Step-by-step explanation:

1. 7 = 7¹

Hence, using the rules of indices..... you would add the exponents when numbers that have the same base are multiplied together.

7⁹⁺¹ = 7¹⁰

2. Add exponents

9²⁺⁶ = 9⁸

PLEASE HELP:
What translation vector translates A(−2,7) to A′(5,−1)?
A. (3,-6)
B. (7,-8)
C. (3,6)
D. (-7,8)

Answers

Answer:

A=(4−10,−7+5)=(−6,−2)

Answer:

B. (7,-8)

Step-by-step explanation:

Josie's age is four years greater than double
Mario's age. If Mario's age is n years, which of
these expressions represents Josie's age?
A. 4n
B. 4n +2
C. 42n + 4
D. 2(n +4)

Answers

Answer:

None of these.

Step-by-step explanation:

Mario's age= n

Therefore,

Josie's age= 2n+4

PLZ HELP QUICK ILL MARK BRAINLEIST!!!

Answers

hmm through my critical thinking I belive it's B

answer please ^^ ty i will give brainliest for correct answer(s). :))











not math but a lot of people see math more than science XD

Answers

Answer:

1: is low accuracy and high precisian. 2: is low accuracy and low precisian. 3: is high accuracy and high precisian.

Step-by-step explanation:

What is the justification for each step in the solution of the equation?

54+2x=5x−3(2+6x)

Select from the drop-down menus to correctly justify each step.

54+2x=5x−3(2+6x) Given

54+2x=5x−6−18x Choose....Addition property of equality, Distributive property, or multiplication Property of equality

54+2x=−13x−6 Combine like terms
54=−15x−6 Subtraction Property of Equality

60=−15x Choose......Addition property of equality, Distributive property, or multiplication Property of equality

−4=x choose........Addition property of equality, Distributive property or equality, or multiplication Property of equality

Answers

Answer:

see below

Step-by-step explanation:

54+2x=5x−3(2+6x) Given

Distribute the -3 to all the terms in the parentheses

54+2x=5x−6−18x  Distributive property

54+2x=−13x−6 Combine like terms

Subtract 2x from each side

54=−15x−6 Subtraction Property of Equality

Add 6 to each side

60=−15x Addition property of equality

Divide each side by -15 ( or multiply each side by -1/15)

−4=x multiplication Property of equality

Solve the following:
1. 2(x+3)=x-4
2. 4(5x-2)=2(9x+3)
Please show working

Answers

Answer:

1. 2(x+3)=x-4 x=-10

2. 4(5x-2)=2(9x+3)  x=7

Step-by-step explanation:

1. 2(x+3)=x-4

2x+6=x-4

2x=x-10

x=-10

2. 4(5x-2)=2(9x+3)

20x-8=18x+6

20x=18x+14

2x=14

x=7

Answer:

1) x=-10

2)x=7

Step-by-step explanation:

1.

[tex]2(x+3)=x-4\\\\2(x)+2(3)=x-4\\\\2x+6=x-4\\\\2x+6-x=-4\\\\x+6=-4\\\\x=-4-6\\\\x=-10\longleftarrow[/tex]

2.

[tex]4(5x-2)=2(9x+3)\\\\4(5x)+4(-2)=2(9x+3)\\\\20x-8=2(9x+3)\\\\20x-8=2(9x)+2(3)\\\\20x-8=18x+6\\\\20x-8-18x=6\\\\2x-8=6\\\\2x=6+8\\\\2x=14\\\\x=7[/tex]

NEED HELP ASAP‼️‼️‼️
two column proof

Given: -5x+2/7 = -4; Prove: x = 6

Answers

Answer:

x = 6/7

Step-by-step explanation:

Write an expression for the perimeter of the triangle shown below:

The answer choices are:
6.9x − 16
6.9x + 16
0.1x − 16
0.1x + 16

Answers

Answer:

0.1x-16

Step-by-step explanation:

just add all of the xs up and then the numbers up

Mark simplified 3/5 divided by 5/8; his work is shown below. Identist where he made his error.

Answers

Answer:

Mark forgot to multiply 5 · 5, so he ended up with 5 in the denominator instead of 5 · 5 = 25

Step-by-step explanation:

28+7+2=x+1

Solve equation

Answers

Answer:

x= 36

Step-by-step explanation:

28+7+2= 37

37= x+1

37-1= 36

x= 36

Answer:

x = 36

Step-by-step explanation:

28 + 7 + 2 = x + 1

x + 1 = 28 + 7 + 2

x + 1 = 37

x = 37 - 1

x = 36

I hope this helped!

Simply
-7i x (-8i)
Will give brainiest to the best one

Answers

56i^2
i^2=-1
56(-1)
=-56

1) 4x + 3 23

2) x/5 -2 ≤ -6 or 8x + 1 ≥ 41

Answers

Answer:

hi

Step-by-step explanation:

A pilot of a helicopter plans to release a bucket of water on a forest fire. The height y in feet of water t seconds after its release is modeled by y = − 16 t 2 − 2 t + 400 . How long will it take for the water to reach the ground? Round to one number after the decimal point.

Answers

Answer:

4.93 seconds

Step-by-step explanation:

The height y in feet of water t seconds after its release is given by the equation as follows :

[tex]y=-16t^2-2t+400[/tex]

We need to find the taken taken for the water to reach the ground. When it reach the ground, y will be equal to 0. So,

[tex]-16t^2-2t+400=0[/tex]

Above is a quadratic equation whose solutions can be calculated as follows :

[tex]t=\dfrac{-(-2)\pm \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=\dfrac{-(-2)+ \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}, \dfrac{-(-2)- \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=-5.062\ s\ \text{and}\ 4.93\ s[/tex]

Neglecting negative value.

Hence, it will take 4.93 seconds for the water to reach the ground

Chelsea and her friends are making small fruit baskets for their neighbors. They have 90 pears, 45 peaches, and 75 apples. What is the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover?

Answers

Answer:

15 baskets

Step-by-step explanation:

This question is a GCF question

The first step would be to find the factors of 45, 75 and 90

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The greatest common factor is 15.

Therefore, the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover is 15 baskets

for each recursive sequences below, find a recursive formula for the general term:

e. 2, 3, 6, 18, 108, 1944, ...
f. 1, 2, 6, 24, ...

i’m not sure how to figure these out! please actually answer and give step by step explanation, i will mark brainliest if correct.


Answers

Answer:

e(1) = 2,   e(n+1) = e(n-1)*e(n)  for n > 1f(1) = 1,   f(n) = n*f(n-1)  for n > 1

Step-by-step explanation:

Given sequences e) 2, 3, 6, 18, 108, 1944, ... f) 1, 2, 6, 24, ...To findRecursive formula for the general termSolution

We can observe that

e) 2*3 = 6, 3*6= 18, 18*6= 108, 108*18 = 1944f) 1*2 = 2, 2*3= 6, 6*4= 24

We can put it in general terms as

e(1) = 2,  and e(n+1) = e(n)*e(n-1)  for n > 1f(1) = 1,  and f(n) = f(n-1)*n  for n > 1

Simplify (4v^3)(3v^7)

Answers

Answer:

12v^10

Step-by-step explanation:

4v x 3v= 12v, ^3+^7=^10

Pls help me with this​

Answers

The answer is no solution

CAN SOMEONE PLS HELP ME ASAP?!??

Answers

Answer:

A. is the correct answer.

Step-by-step explanation:

-8x-3=13-9x what is the answer for x?

Answers

Answer:

x=16

Step-by-step explanation:

-8x-3=13-9x

-8x+9x=13+3

x=16

Answer:

x = 16

Step-by-step explanation:

subtract 8x from both sides

-3 = 13 -x  subtract 13 to both sides

-16 = -x multiply both sides by -1 which gives you 16 = x

a) X + 3 = 11​​ b) m + 5 = -2​​. c) y – 3 = 9



d) T – 11= -5​





Help please thank you please help

Answers

Answer:

x=8,m=-7,y=12,t=6

Step-by-step explanation:

for x you add three too bothe sides

for m you subtract 5 from both sides

for y you add three to both sides

for t you add ll too both sides

Four different stores have the same digital camera on sale. The original price and discounts offered by each store are
listed below. Rank the stores from the cheapest to most expensive sale price of the camera.
Store A: price $99.99 and discount of 15%
Store B: price $95.99 and discount of 12%
Store C: price $90.99 and discount of 10%
Store D: price $89.99 and successive discounts of 5% and 5%
a. A, B, C.D
b. A, B, D, C
C. D. A, B, C
d. D, C,B,A

Answers

Answer:

should be "d" though i haven't calculated it all exactly

Step-by-step explanation:

A : 85

B : 83

C : 82

D : 81

Answer:

yes it is d

believe me

i calculated

The rational numbers below are arranged in descending order. Select all of the numbers that could
come next.
4
3
93%, 0.7,
A.
1 x 10-2
B.
C.
65%
5
5
D.
E.
06
F.
2.3 x 102
2.

Answers

Answer:

f

Step-by-step explanation:

I HAVE UNTIL 3:30 PLZ HELPPPP 40 POINTS AND BRAINLIEST
Jake needs to buy 120 beverages for a party. Juices come in 8-packs and water comes in 12-packs.

Select all the pairs that represent a combination of juice and water that Jake can buy.

A (0, 10)

B (12, 2)

C (–2, 11)

D (, 5)

E (30, –10)

its linear equation for graphing.

Answers

Answer:

the ones you can use are A,B and E

Step-by-step explanation:

Plug each one in and find out if it works or not

Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $30 every month. The second option is to put $200 away initially and save $50 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
Plzzz hellpppp

Answers

Answer:

After 5 months, she will save the same amount using either option.

She would have saved $450 with either option.

Step-by-step explanation:

Set up expressions to represent the amount of money saved for each saving option, where x is the number of months

The first one can be represented by 30x + 300

The second one can be represented by 50x + 200

Set these equal to each other and solve for x:

30x + 300 = 50x + 200

300 = 20x + 200

100 = 20x

5 = x

So, after 5 months, Tina will save the same amount of money with both options.

To find how much she will save, plug in 5 as x into either expression:

30x + 300

30(5) + 300

150 + 300

= 450

So, she would have saved $450 with either option.

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